1566654816960 has 896 divisors, whose sum is σ = 5915363328000. Its totient is φ = 389611192320.

The previous prime is 1566654816959. The next prime is 1566654816973. The reversal of 1566654816960 is 696184566651.

It is a super-2 number, since 2×1566654816960² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1119838341 + ... + 1119839739.

It is an arithmetic number, because the mean of its divisors is an integer number (6601968000).

Almost surely, 2^{1566654816960} is an apocalyptic number.

1566654816960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1566654816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957681664000).

1566654816960 is an abundant number, since it is smaller than the sum of its proper divisors (4348708511040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1566654816960 is a wasteful number, since it uses less digits than its factorization.

1566654816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 1566654816960 in words is "one trillion, five hundred sixty-six billion, six hundred fifty-four million, eight hundred sixteen thousand, nine hundred sixty".